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A vehicle travels half of distance with ...

A vehicle travels half of distance with speed `v_1` and remaining half of distance is travels with speed, `v_2` . The average speed is

A

`(v_1 + v_2)/(2)`

B

`(2v_1 + v_2)/(v_1+v_2)`

C

`(2v_1v_2)/(v_1+v_2)`

D

`(v_1+v_2)/(v_1v_2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Let the distance = s

Now `t_1 = (s)/(2v_1) `
` t_2 = (s)/(2v_2)`
Average speed ` = (s)/((s)/(2v_1) + (s)/(2v_2))`
` = (s)/(s/2 ((1)/(v_1) + (1)/(v_2) )) = (2v_1 v_2)/((v_1 + v_2))`
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